Tech Reports

ULCS-03-019

On-line Dominating Sets in Web Graphs

Colin Cooper, Ralf Klasing and Michele Zito

Abstract

In this paper we study the size of generalised dominating sets in two
recently proposed models of the web graph. On the one hand, we show that
web graphs have fairly large dominating sets (i.e. ~linear in the size
of the graph). On the other hand, we present on-line strategies to
construct reasonable dominating sets. The proof of the algorithmic bounds is based
on an adaptation of the differential equation method to the on-line
setting, and may be of independent interest.
Available from the authors upon request.

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